HARD
9th Manipur Board
IMPORTANT
Earn 100

The radii of the top and bottom of a bucket are 21 cm and 14 cm. Determine the capacity and curved surface area of the bucket if its height is 24 cm.

Important Questions on Mensuration

HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 12 - Mensuration>EXERCISE 12.3>Q 19
Rain water from a horizontal roof 11 m×6 m drains into a vessel in the form of a frustum of a cone. The height of the vessel is 1.4 m and the radii of its top and bottom are 0.9 m and 0.6 m. If the vessel is just full, find the rainfall in centimetres.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 12 - Mensuration>EXERCISE 12.3>Q 20
A solid cone of height 16.8 cm and base radius 4.2 cm is melted and recast into a solid sphere. Determine the radius of the sphere.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 12 - Mensuration>EXERCISE 12.3>Q 21
A solid sphere is melted and recast into a cone whose (base) radius is the same as that of the sphere. Show that the slant height of the cone bears a ratio 17:4 to its height.
HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 12 - Mensuration>EXERCISE 12.3>Q 22
A solid is in the form of a cone surmounted on a hemisphere of the same radius. If the height of the cone is 24 cm and radius of the hemisphere is 7 cm, find the volume and surface area of the solid.
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 12 - Mensuration>EXERCISE 12.3>Q 23
How many leads shots, each of radius 6 cm can be made out of a rectangular slab of dimensions 44 cm×36 cm×24 cm?
HARD
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 12 - Mensuration>EXERCISE 12.3>Q 24
Find the surface area and volume of a solid in the form of a right circular cylinder with hemispherical ends if the whole length is 22 cm and radius of the cylinder is 3 cm.(Take π=3.14)
MEDIUM
9th Manipur Board
IMPORTANT
Mathematics for Class 9>Chapter 12 - Mensuration>EXERCISE 12.3>Q 25
A metallic right circular cylinder of radius 6 cm and height 14 cm is melted and recast into three spheres. If the radii of two of these spheres are 2 cm and 3 cm, find the radius of the third.